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Finding the Fourth Proportional to 671.42, 1,007.34 and 301.54

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Solution

The fourth proportional to 671.42, 1,007.34 and 301.54 is: 452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.42 : 1,007.34 = 301.54 : x
  2. Step 2: Convert to fraction form
    671.42/1,007.34 = 301.54/x
  3. Step 3: Cross multiply
    671.42x = 1,007.34 × 301.54
  4. Step 4: Simplify right side
    671.42x = 303,757.07
  5. Step 5: Solve for x
    x = 303,757.07/671.42
  6. Step 6: Final answer
    x = 452.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.